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31143513366 = 233729297967
BaseRepresentation
bin11101000000010011…
…000100110100010110
32222101110000101211000
4131000103010310112
51002240214411431
622150201324130
72151523332030
oct350023046426
988343011730
1031143513366
11122317795a9
126051a96646
132c2426c824
141716272c50
15c242079e6
hex7404c4d16

31143513366 has 96 divisors (see below), whose sum is σ = 81916922880. Its totient is φ = 8591226336.

The previous prime is 31143513361. The next prime is 31143513371. The reversal of 31143513366 is 66331534113.

31143513366 is a `hidden beast` number, since 31 + 1 + 435 + 133 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (31143513361) and next prime (31143513371).

It is a self number, because there is not a number n which added to its sum of digits gives 31143513366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31143513361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268915 + ... + 366881.

It is an arithmetic number, because the mean of its divisors is an integer number (853301280).

Almost surely, 231143513366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143513366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40958461440).

31143513366 is an abundant number, since it is smaller than the sum of its proper divisors (50773409514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31143513366 is a wasteful number, since it uses less digits than its factorization.

31143513366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98043 (or 98008 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The spelling of 31143513366 in words is "thirty-one billion, one hundred forty-three million, five hundred thirteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 841 1218 1566 1682 1827 2523 3654 5046 5481 5887 7569 10962 11774 15138 17661 22707 35322 45414 52983 97967 105966 158949 195934 293901 317898 587802 685769 881703 1371538 1763406 2057307 2645109 2841043 4114614 5290218 5682086 6171921 8523129 12343842 17046258 18515763 19887301 25569387 37031526 39774602 51138774 59661903 76708161 82390247 119323806 153416322 164780494 178985709 247170741 357971418 494341482 536957127 576731729 741512223 1073914254 1153463458 1483024446 1730195187 2224536669 3460390374 4449073338 5190585561 10381171122 15571756683 31143513366